Finding the Third Proportional to 30.75 and 32.72

Step by Step Solution

1. Step 1: Write the proportion equation
   30.75 : 32.72 = 32.72 : x
2. Step 2: Convert to fraction form
   30.75/32.72 = 32.72/x
3. Step 3: Cross multiply
   30.75x = 32.72 × 32.72
4. Step 4: Simplify right side
   30.75x = 1,070.52
5. Step 5: Solve for x
   x = 1,070.52/30.75
6. Step 6: Final answer
   x = 34.81